From 052870b7de94705a37e8343f1731ae80bdce4792 Mon Sep 17 00:00:00 2001
From: Crizomb <62544756+Crizomb@users.noreply.github.com>
Date: Wed, 15 Feb 2023 13:40:18 +0100
Subject: [PATCH] increasing performances

in newton_law d*d*d is faster than d**3
---
 barnes-hut-galaxy-new.py | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/barnes-hut-galaxy-new.py b/barnes-hut-galaxy-new.py
index 939ee35..11a38a4 100644
--- a/barnes-hut-galaxy-new.py
+++ b/barnes-hut-galaxy-new.py
@@ -24,7 +24,8 @@ G = 10
 
 def newton_law(mass1: float, mass2: float, vec_diff: Vec3) -> Vec3:
     """Return the force applied by mass1 on mass2."""
-    return G * vec_diff * (mass1 * mass2 / (vec_diff.norm + SMOOTHING) ** 3)
+    d = vec_diff.norm + SMOOTHING
+    return G * vec_diff * (mass1 * mass2 / (d*d*d))
 
 def get_time(func):
     def wrapper(*args, **kwargs):